The revenue earned by producing and selling digital cameras can be found by the equation R(x)=x(94.8-5x) for x thousand cameras and R(x) is in thousands of dollars.

a. Find the number of cameras that will generate maximum revenue.

b. What will the maximum revenue be?

c. Explain in a sentence or two how we can know that these calculations will give us our maximum revenue (you may use a diagram to support your explanation)

A farmer buys a new tractor for $156,000 and assumes that it will have a trade-in value of $84,000 after 10 years. The farmer uses a constant rate of depreciation to determine the annual value of the tractor.

b. What is the depreciated value of the tractor after 6 years?

d. Does the linear model seem to be a good representation of the depreciation of the tractor? Why or why not

An office copier has an initial price of $2,200. A service contract costs $100 for the first year and increases $50 per year thereafter. It can be shown that the total cost of the copier after n years is given by C(n)= 22200 +75n +25n

b. Find the average cost per year after 5 years.

c. After graphing the average cost per year, C(x), we see that the lowest point is (9.4, 544). What does this point mean in context to this problem? (Write an interpretation of this point including each of the numbers, the units associated with the numbers and the meaning of the fact that it is the lowest point on the graph.)

Have and Hold Events rent decorative arbors for $150 per day (and any fraction thereof) or for $900 per 7-day week Let Cox), written below, be the cost of renting a decorative arbor for x days

C(x)= 150x x<7 and 900+150(x-7) x>=7

d. Evaluate C(7)

e is this function continuous at x 7? Why or why not? Interpret the meaning of the answer to part d of this problem